114149916073349 has 16 divisors (see below), whose sum is σ = 124766621380800. Its totient is φ = 103795517422080.

The previous prime is 114149916073327. The next prime is 114149916073351. The reversal of 114149916073349 is 943370619941411.

It is a cyclic number.

It is not a de Polignac number, because 114149916073349 - 2²⁰ = 114149915024773 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114149916073291 and 114149916073300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114149916073379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103710389 + ... + 104805269.

It is an arithmetic number, because the mean of its divisors is an integer number (7797913836300).

Almost surely, 2^{114149916073349} is an apocalyptic number.

It is an amenable number.

114149916073349 is a deficient number, since it is larger than the sum of its proper divisors (10616705307451).

114149916073349 is a wasteful number, since it uses less digits than its factorization.

114149916073349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214660.

The product of its (nonzero) digits is 17635968, while the sum is 62.

The spelling of 114149916073349 in words is "one hundred fourteen trillion, one hundred forty-nine billion, nine hundred sixteen million, seventy-three thousand, three hundred forty-nine".